High-School Calculus Resources


Recommended Textbooks

The Strang-Herman Series

  1. Calculus Volume 1, OpenStax – Free eBook & Affordable Hardcover

  2. Calculus Volume 2, OpenStax – Free eBook & Affordable Hardcover

  3. Calculus Volume 3, OpenStax – Free eBook & Affordable Hardcover

Notes:

  1. This series, written by renowned applied mathematicians and educators, provides a rigorous, college-level treatment of calculus, focusing on theory, proofs, and a broad range of applications. It is well-suited for students who wish to study calculus in depth, particularly those pursuing further studies in mathematics or science. The series goes beyond the scope of the AP curriculum. In contrast, standard AP Calculus textbooks are tailored specifically to the AP exam, emphasizing the topics and problem types most likely to appear on the test.

  2. The first two books are used as textbooks for the high school course Single Variable Calculus at Stanford Online High School. The third book is intended for Multivariable Calculus.

Calculus for Biology and Medicine by Neuhauser and Roper

  1. Available on Amazon.com.

  2. Cheaper prices may be found on other used book websites.

Notes:

  1. This book was also written by renowned applied mathematicians, more specifically, mathematical ecologists. It includes numerous interesting applications of Calculus in biology and medicine, which can be expanded into course projects for students to explore.

  2. Dr. Xue has used this book to teach Calculus to pre-med students during her tenure at the Ohio State University on many occasions. The Mathematical Biosciences Institute at the OSU was one of the world centers for Mathematical Biology, widely regarded as the U.S. counterpart to the Wolfson Center for Mathematical Biology at Oxford.